All categories

3 years ago

Solve the simultaneous equations. xy = 4x + y = 5

Mathematics

2 answers:

lozanna [386]3 years ago

6 0

Answer:

1,4

4,1

Step-by-step explanation:

y = 4/x

substitute

x + 4/x = 5

multiply the whole thing by x to make life easier

x^2 +4 = 5x

X^2 -5x +4 = 0

(x-1)(x-4)=0

x-1=0 x =1

x-4 =0. x=4

so there are 2 solutions

x=1. y = 4

x =4. y =1

Maru [420]3 years ago

5 0

Answer:
if X=1 ; Y=4
if X=4 ; Y=1

You might be interested in

Help with this math homework

iren [92.7K]

Ranking in order from best to worst : Point, line, plane.

Step-by-step explanation:

12.A point in geometry is a location with no size and is shown by a dot. A point is the most fundamental object in geometry that represents a position.

A line can be defined as a connected set made up of infinitely many points.A line has one dimension and extends in infinitely in different directions.It has zero width and zero height.

A plane is an infinite set of points forming a connected flat surface that extends infinitely far in all directions. In a plane, the width, length and height are infinite.

13.

Points S and V are collinear points.

Points R, and U are collinear points

Points Q and T are collinear points

The figure has no plane indicated

Learn More

Point, line and plane : brainly.com/question/13148935

Keywords : line, plane, point, best worst, conclusion

#LearnwithBrainly

3 0

3 years ago

Solve for x: x5 + x4 − 7x3 − 7x2 − 144x − 144 = 0

motikmotik

$x^5 + x^4 - 7x^3 - 7x^2 -144x - 144 = 0 \\x^4(x+1)-7x^2(x+1)-144(x+1)=0\\(x^4-7x^2-144)(x+1)=0\\\\x+1=0\Rightarrow x=-1\\\\x^4-7x^2-144=0\\x^4-16x^2+9x^2-144=0\\x^2(x^2-16)+9(x^2-16)=0\\(x^2+9)(x^2-16)=0\\(x^2+9)(x-4)(x+4)=0\\\\x^2+9=0\vee x-4=0 \vee x+4=0\\x=4 \vee x=-4\\\\x\in\{-4,-1,4\}$

6 0

3 years ago

Read 2 more answers

A circle is centered at (11, −9) and has a radius of 12.

ahrayia [7]

$\bf \textit{equation of a circle}\\\\
(x-{{ h}})^2+(y-{{ k}})^2={{ r}}^2
\qquad 
\begin{array}{lllcl}
center\quad (&h,&\quad k)\qquad
radius=&r\\
&11&-9&12
\end{array}$

6 0

3 years ago

A farmer has a collapsable grain bag which can expand both vertically and horizontally as he needs it to. He wants to find a fun

bija089 [108]

Answer:

$3x^{3}+15x^{2}+x+5$

Step-by-step explanation:

We are told that the area of the bag can be represented by the function $f(x)=3x^{2} +1$ and as the bag is raised up its height can be represented by the function $g(x)=x +5$ .

Since we know that we can find volume of cuboid by multiplying base area to its height. We are given area and height of bag as functions. Now we will find volume of the bag by multiplying these functions.

$\text{Volume of collapsible bag}=f(x)*g(x)$